{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ropes\n",
    "\n",
    "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/particles/Ropes.ipynb)\n",
    "\n",
    "This example simulates ropes as nodes connected by slightly deformable sticks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# %pip install --quiet phiflow\n",
    "from phi.jax.flow import *\n",
    "# from phi.flow import *  # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
    "from tqdm.notebook import trange"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start by scattering nodes as a jittered grid and setting some of them as fixed points while the rest will be able to move."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 288x216 with 2 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 288x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "grid = CenteredGrid(0, x=20, y=20, bounds=Box(x=1, y=1))\n",
    "x = pack_dims(grid.points, 'x,y', instance('nodes'))\n",
    "x += math.random_uniform(x.shape) * .01\n",
    "fixed_indices = vec(nodes=[399, 19, 199, 239, 0])\n",
    "fixed = math.scatter(expand(False, instance(x)), fixed_indices, True)\n",
    "plot(PointCloud(x, fixed), size=(4, 3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We represent our rope system using a `Graph` whose edges encode the stick lengths.\n",
    "The sticks are represented by the graph's edge matrix, which we store in sparse COO format here. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "deltas = math.pairwise_differences(x, max_distance=grid.dx.mean * 1.1, format='coo')\n",
    "distances = math.vec_length(deltas)\n",
    "graph = geom.Graph(x, distances, {}, deltas, distances)\n",
    "plot(graph)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's define the simulation!\n",
    "After handling the gravity and velocity updates, we perform a fixed number of relaxation steps.\n",
    "\n",
    "Each relaxation step shifts the node positions in order to reduce stretching or squishing of the sticks.\n",
    "To do this, we first compute the stick centers and directions.\n",
    "For an unstretched stick, the node position must be half the stick's length away from its center along the stick's direction.\n",
    "For nodes with multiple connected sticks, we compute the ideal node position for each stick, and then average the so-obtained positions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "@jit_compile\n",
    "def step(graph: geom.Graph, v, dt=1., gravity=vec(x=0, y=-0.01), relaxation_steps=50):\n",
    "    v += gravity * dt\n",
    "    x = graph.center + math.where(fixed, 0, dt * v)\n",
    "    for _ in range(relaxation_steps):\n",
    "        deltas = math.pairwise_differences(x, format=graph.edges)\n",
    "        stick_centers = x + .5 * deltas\n",
    "        stick_directions = math.vec_normalize(deltas, epsilon=1e-5)\n",
    "        next_x = stick_centers - stick_directions * .5 * graph.edges\n",
    "        next_x = math.mean(next_x, dual)\n",
    "        x = math.where(fixed, x, next_x)\n",
    "    v = (x - graph.center) / dt\n",
    "    return geom.Graph(x, graph.edges, {}), v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "v0 = math.zeros_like(x)\n",
    "graph_trj, v_trj = iterate(step, batch(time=50), graph, v0, substeps=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\phd\\phiflow2\\phiml\\phiml\\math\\_tensors.py:427: SyntaxWarning: Indexing without item names is not recommended. Got indices (entriesⁱ=1311)\n",
      "  return gather(self, item)\n"
     ]
    },
    {
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       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x1b75e380f10>"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(graph_trj, animate='time')"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "phiflow2",
   "language": "python",
   "name": "python3"
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   "file_extension": ".py",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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 },
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}
